Vol. 100, No. 2, 1982

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ISSN: 0030-8730
The saturation of k-analytic rings and topological equivalence of associated analytic set germs

Ulrich Daepp

Vol. 100 (1982), No. 2, 271–285
Abstract

The objective of this paper is to adapt the theory of saturation as developed by Oscar Zariski to the case of k-analytic rings. For the most part k is an algebraically closed field of positive characteristic. We think that saturation can be helpful in the definition of equisingularity. The results beneath show that some necessary conditions for such a task are fulfilled in this particular case. We do however not go so far as to actually define equisingularity.

Mathematical Subject Classification 2000
Primary: 32B10
Secondary: 13J05, 14B05, 32B05
Milestones
Received: 23 December 1979
Published: 1 June 1982
Authors
Ulrich Daepp